11.5.4.2 General Three-Dimensional Symmetries, 3-D Symmetry

Arcelli, C., and Levialdi, S.,
Parallel Shrinking in Three Dimensions,
CGIP(1), No. 1, April 1972, pp. 21-30.
WWW Version. BibRef 7204

Lobregt, S., Verbeek, P.W., and Groen, F.C.A.,
Three-Dimensional Skeletonization: Principle and Algorithm,
PAMI(2), No. 1, January 1980, pp. 75-77. BibRef 8001

Kanade, T.,
Recovery of the Three-Dimensional Shape of and Object from a Single View,
AI(17), No. 1-3, August 1981, pp. 409-460.
WWW Version. BibRef 8108
And: CMU-CS-TR-79-153, CMU CS Dept., October 1979. Skew Symmetry. Perceptual Grouping. Parallel lines in a drawing are parallel lines in space. Skewed symmetry in a drawing is a bilateral symmetry in space. Thus skew symmetric figures are excluded from recognition. BibRef

Nackman, L.R., and Pizer, S.M.,
Three-Dimensional Shape Description Using the Symmetric Axis Transform,
PAMI(7), No. 2, March 1985, pp. 187-202. BibRef 8503
And: A1 only: Ph.D.Thesis, Univ. of NC, 1982. See also Hierarchical Shape Description Via the Multiresolution Symmetric Axis Transform. BibRef

Nackman, L.R.[Lee R.],
Curvature Relations in Three-Dimensional Symmetric Axes,
CGIP(20), No. 1, September 1982, pp. 43-57.
WWW Version. BibRef 8209

Hafford, K.J., Preston, Jr., K.,
Three-Dimensional Skeletonization of Elongated Solids,
CVGIP(27), No. 1, July 1984, pp. 78-91.
WWW Version. BibRef 8407

Wolter, J.D., Woo, T.C., Volz, R.A.,
Optimal Algorithms for Symmetry Detection in Two and Three Dimensions,
VC(1), 1985, pp. 37-48. BibRef 8500

Fukushima, S., Okumura, T.,
Modeling a Three-Dimensional Shape from a Silhouette by Detecting Symmetry,
IEICE(J74-D-II), No. 12, 1991, pp. 1697-1705. BibRef 9100
And: English version: SCJ(24), No. 3, 1993, pp. 59-69. BibRef

Saint-Marc, P., Rom, H., and Medioni, G.G.,
B-Spline Contour Representation and Symmetry Detection,
PAMI(15), No. 11, November 1993, pp. 1191-1197.
IEEE DOI Link Eariler with A1, A3 only: BibRef 9311
B-Spline Contour Representations and Symmetry Detection,
ECCV90(604-606).
Springer DOI Link Detect Symmetries for shape from contour. BibRef

Manninen, A.T.,
Statistical Calculations of 3D-Orientation Parameters of Flat Symmetrical Polyhedrons,
PRL(14), 1993, pp. 207-211. BibRef 9300

Cham, T.J.[Tat-Jen], Cipolla, R.[Roberto],
Symmetry Detection Through Local Skewed Symmetries,
IVC(13), No. 5, June 1995, pp. 439-450.
WWW Version. BibRef 9506
And: Cambridge UniversityTechnical Report CUED/F-INFENG/TR183, November 1994. BibRef
Earlier:
Skewed Symmetry Detection Through Local Skewed Symmetries,
BMVC94(xx-yy).
PDF Version. 9409
BibRef
And:
A Local Approach To Recovering Global Skewed Symmetry,
ICPR94(A:222-226).
IEEE DOI Link Hough Transform. Detect global symmetry prior to segmentation. BibRef

Sherbrooke, E.C., Patrikalakis, N.M., Brisson, E.,
An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids,
VCG(2), No. 1, March 1996, pp. 44-61. BibRef 9603

Sheehy, D.J., Armstrong, C.G., Robinson, D.J.,
Shape-Description by Medial Surface Construction,
VCG(2), No. 1, March 1996, pp. 62-72. BibRef 9603

Grupen, R.A., Henderson, T.C., Hansen, C.D.,
Apparent Symmetries in Range Data,
PRL(7), 1988, pp. 107-111. BibRef 8800

Sun, C.M.[Chang Ming], Sherrah, J.[Jamie],
3D Symmetry Detection Using the Extended Gaussian Image,
PAMI(19), No. 2, February 1997, pp. 164-168.
IEEE DOI Link 9703
Detect the symmetry by converting to a Gaussian Image, then convolve the GI. BibRef

Forsyth, D.A.,
Recognizing Algebraic Surfaces from Their Outlines,
IJCV(18), No. 1, April 1996, pp. 21-40.
Springer DOI Link 9605
BibRef
Earlier: ICCV93(476-480).
IEEE DOI Link Theory. BibRef

Zisserman, A.[Andrew], Mundy, J.L.[Joe L.], Forsyth, D.A.[David A.], Liu, J.[Jane], Pillow, N.[Nic], Rothwell, C.A.[Charlie A.], Utcke, S.[Sven],
Class-Based Grouping in Perspective Images,
ICCV95(183-188).
IEEE DOI Link Extract generalized cylinders using perspective, from the countours. BibRef 9500

Forsyth, D.A., Mundy, J.L., Zisserman, A., Rothwell, C.A.,
Recognizing Rotationally Symmetric Surfaces from Their Outlines,
ECCV92(639-647).
Springer DOI Link BibRef 9200

Shimshoni, I.[Ilan], Moses, Y.[Yael], Lindenbaum, M.[Michael],
Shape Reconstruction of 3D Bilaterally Symmetric Surfaces,
IJCV(39), No. 2, September 2000, pp. 97-110.
DOI Link 0008
BibRef
Earlier: CIAP99(76-81).
IEEE DOI Link 9909
BibRef

Prasad, V.S.N.[V. Shiv Naga], Yegnanarayana, B.,
Finding axes of symmetry from potential fields,
IP(13), No. 12, December 2004, pp. 1559-1566.
IEEE DOI Link 0412
BibRef

Robert-Inacio, F.[Frédérique],
Symmetry parameters for 3D pattern classification,
PRL(26), No. 11, August 2005, pp. 1732-1739.
WWW Version. 0506
BibRef

Penman, D.W.[David W.], Alwesh, N.S.[Nawar S.],
3D Pose estimation of symmetrical objects of unknown shape,
IVC(24), No. 5, 1 May 2006, pp. 447-454.
WWW Version. 0606
Orientation; Pose estimation; Symmetry; Range data Given a plane of bilateral symmetry. BibRef

Penman, D.W., Valkenburg, R.J., Alwesh, N.S.,
Robust calibration of the position of reference targets for a six degrees of freedom pose sensor,
IVCNZ08(1-6).
IEEE DOI Link 0811
BibRef

Bucksch, A.[Alexander], Lindenbergh, R.[Roderik],
CAMPINO: A skeletonization method for point cloud processing,
PandRS(63), No. 1, January 2008, pp. 115-127.
WWW Version. 0711
Skeletonization; CAMPINO; Point cloud; Terrestrial laser scanning BibRef

Bucksch, A.[Alexander], Lindenbergh, R.[Roderik], Menenti, M.[Massimo],
SkelTre: Robust skeleton extraction from imperfect point clouds,
VC(26), No. 10, October 2010, pp. 1283-1300.
WWW Version. 1101
BibRef

Raviv, D.[Dan], Bronstein, A.M.[Alexander M.], Bronstein, M.M.[Michael M.], Kimmel, R.[Ron],
Full and Partial Symmetries of Non-rigid Shapes,
IJCV(89), No. 1, August 2010, pp. xx-yy.
Springer DOI Link 1004
BibRef
Earlier:
Symmetries of non-rigid shapes,
NRTL07(1-7).
IEEE DOI Link 0710
See also Partial Similarity of Objects, or How to Compare a Centaur to a Horse. BibRef

Raviv, D.[Dan], Bronstein, A.M.[Alexander M.], Bronstein, M.M.[Michael M.], Kimmel, R.[Ron], Sapiro, G.[Guillermo],
Diffusion symmetries of non-rigid shapes.,
3DPVT10(xx-yy).
WWW Version. 1005
BibRef

Raviv, D.[Dan], Dubrovina, A.[Anastasia], Kimmel, R.[Ron],
Hierarchical Matching of Non-rigid Shapes,
SSVM11(604-615).
Springer DOI Link 1201
BibRef

Raviv, D.[Dan], Bronstein, A.M.[Alexander M.], Bronstein, M.M.[Michael M.], Kimmel, R.[Ron], Sochen, N.A.[Nir A.],
Equi-Affine Invariant Geometries of Articulated Objects,
WTFCV11(177-190).
Springer DOI Link 1210
BibRef

Raviv, D.[Dan], Bronstein, M.M.[Michael M.], Bronstein, A.M.[Alexander M.], Kimmel, R.[Ron], Sochen, N.A.[Nir A.],
Affine-invariant diffusion geometry for the analysis of deformable 3D shapes,
CVPR11(2361-2367).
IEEE DOI Link 1106
BibRef

Rosman, G.[Guy], Bronstein, A.M.[Alex M.], Bronstein, M.M.[Michael M.], Tai, X.C.[Xue-Cheng], Kimmel, R.[Ron],
Group-Valued Regularization for Analysis of Articulated Motion,
NORDIA12(I: 52-62).
Springer DOI Link 1210
BibRef

Rosman, G.[Guy], Bronstein, A.M.[Alexander M.], Bronstein, M.M.[Michael M.], Kimmel, R.[Ron],
Articulated Motion Segmentation Of Point Clouds by Group-Valued Regularization,
3DOR12(77-84)
PDF Version.
DOI Link 1301
BibRef

Rosman, G.[Guy], Bronstein, M.M.[Michael M.], Bronstein, A.M.[Alexander M.], Wolf, A.[Alon], Kimmel, R.[Ron],
Group-Valued Regularization Framework for Motion Segmentation of Dynamic Non-rigid Shapes,
SSVM11(725-736).
Springer DOI Link 1201
BibRef

Devir, Y.S.[Yohai S.], Rosman, G.[Guy], Bronstein, A.M.[Alexander M.], Bronstein, M.M.[Michael M.], Kimmel, R.[Ron],
On reconstruction of non-rigid shapes with intrinsic regularization,
NORDIA09(272-279).
IEEE DOI Link 0910
BibRef

Bermanis, A.[Amit], Averbuch, A.[Amir], Keller, Y.[Yosi],
3-D Symmetry Detection and Analysis Using the Pseudo-polar Fourier Transform,
IJCV(90), No. 2, November 2010, pp. 166-182.
WWW Version. 1011
BibRef

Grushko, C.[Carmi], Raviv, D.[Dan], Kimmel, R.[Ron],
Intrinsic Local Symmetries: A Computational Framework,
3DOR12(33-38)
PDF Version.
DOI Link 1301
BibRef

Sinha, S.N.[Sudipta N.], Ramnath, K.[Krishnan], Szeliski, R.[Richard],
Detecting and Reconstructing 3D Mirror Symmetric Objects,
ECCV12(II: 586-600).
Springer DOI Link 1210
BibRef

Han, D.J.[Dong-Jin], Cooper, D.B.[David B.], Hahn, H.S.[Hern-Soo],
Fast axis estimation from a segment of rotationally symmetric object,
CVPR12(1154-1161).
IEEE DOI Link 1208
BibRef

Mitra, N.J.[Niloy J.], Bronstein, A.M.[Alex M.], Bronstein, M.M.[Michael M.],
Intrinsic Regularity Detection in 3D Geometry,
ECCV10(III: 398-410).
Springer DOI Link 1009
Symmetries, regularity, retpetitve structures. Reduce to 2D grid problem. BibRef

Kakarala, R.[Ramakrishna], Mao, D.S.[Dan-Sheng],
A theory of phase-sensitive rotation invariance with spherical harmonic and moment-based representations,
CVPR10(105-112).
IEEE DOI Link 1006
bispectrum for rotations and moments. Distinguish rotations from reflections. BibRef

Cailliere, D., Denis, F., Pele, D., Baskurt, A.,
3D mirror symmetry detection using Hough transform,
ICIP08(1772-1775).
IEEE DOI Link 0810
BibRef

Sawada, T.[Tadamasa], Pizlo, Z.[Zygmunt],
Detecting mirror-symmetry of a volumetric shape from its single 2D image,
Tensor08(1-8).
IEEE DOI Link 0806
BibRef

Fujimori, T.[Tomoyuki], Kobayashi, Y.[Yohei], Suzuki, H.[Hiromasa],
Separated Medial Surface Extraction from CT Data of Machine Parts,
GMP06(313-324).
Springer DOI Link 0607
BibRef

Pan, G.[Gang], Wang, Y.M.[Yue-Ming], Qi, Y.P.[Yi-Peng], Wu, Z.H.[Zhao-Hui],
Finding Symmetry Plane of 3D Face Shape,
ICPR06(III: 1143-1146).
IEEE DOI Link 0609
BibRef

Huynh, D.,
Affine Reconstruction from Monocular Vision in the Presence of a Symmetry Plane,
ICCV99(476-482).
IEEE DOI Link BibRef 9900

Imamura, H., Kitaoka, Y.[Yoshiyuki], Katsuma, Y., Kenmochi, Y., Kotani, K.,
Estimation of Stereo Image Pairs from Single Camera Views for a Roatating Spherical Object covered with Moving Texture,
ICIP99(IV:400-404).
IEEE DOI Link Smoothly Varying Surface BibRef 9900

Yiwu, L.[Lei], Cheong, W.[Wong],
A Novel Method for Detecting and Localising of Reflectional and Rotational Symmetry Under Weak Perspective Projection,
ICPR98(Vol I: 417-419).
IEEE DOI Link 9808
BibRef

Carlsson, S.,
Symmetry in perspective,
ECCV98(I: 249).
WWW Version. BibRef 9800

Nishimura, K., Tanaka, H.,
Active Shape Inferring Based on the Symmetry in Stable Poses: Shape from Function Approach,
ICPR96(I: 136-140).
IEEE DOI Link 9608
(Ritsumeikan Univ., J) BibRef

Tan, T.N.,
Monocular Reconstruction of 3-D Bilateral Symmetrical Objects,
BMVC96(Poster Session 1). 9608
BibRef
Earlier:
Structure, Pose and Motion of Bilateral Symmetric Objects,
BMVC95(xx-yy).
PDF Version. 9509
University of Reading BibRef

Labonte, F., Shapira, Y., and Cohen, P.,
A Perceptually Plausible Model for Global Symmetry Detection,
ICCV93(258-263).
IEEE DOI Link BibRef 9300

Taylor, M.J., Blake, A.,
Grasping the Apparent Contour,
ECCV94(B:25-34).
Springer DOI Link BibRef 9400

Blake, A., Taylor, M.J., and Cox, A.,
Grasping Visual Symmetry,
ICCV93(724-733).
IEEE DOI Link Symmetry as the locus of bi-tangent circles. BibRef 9300

Minovic, P., Ishikawa, S., Kato, K.,
Three-Dimensional Symmetry Measurement of Medical Entities,
ICPR92(I:457-460).
IEEE DOI Link BibRef 9200

Yuen, S.Y.K.[Shiu-Yin Kelvin],
Shape from Contour Using Symmetries,
ECCV90(437-453).
Springer DOI Link BibRef 9000

Brown, C.M.,
Symmetry Evaluators,
DARPA84(90-97). BibRef 8400

Kelley, R.B., Birk, J.R., Silva, R.,
Identification of Object Symmetry from Multiple Views,
PRIP78(327-330). BibRef 7800

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Generalized Cylinders -- Use .